Pith Number

pith:ASX6GKH3

pith:2013:ASX6GKH3I7XVPUARFBX44RDV7P

not attested not anchored not stored refs pending

Universality for the largest eigenvalue of sample covariance matrices with general population

Guangming Pan, Wang Zhou, Zhigang Bao

arxiv:1304.5690 v8 · 2013-04-21 · math.PR · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ASX6GKH3I7XVPUARFBX44RDV7P}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:25:34.366010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04afe328fb47ef57d011286fce4475fbcdeb3999f87b2eb027b247a1d0c60da5

Aliases

arxiv: 1304.5690 · arxiv_version: 1304.5690v8 · doi: 10.48550/arxiv.1304.5690 · pith_short_12: ASX6GKH3I7XV · pith_short_16: ASX6GKH3I7XVPUAR · pith_short_8: ASX6GKH3

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ASX6GKH3I7XVPUARFBX44RDV7P \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 04afe328fb47ef57d011286fce4475fbcdeb3999f87b2eb027b247a1d0c60da5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8f09dce5c5b5483ac0960dc2c5d940debafa3ed21f9a17f9241b265350543cc",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-04-21T05:08:54Z",
    "title_canon_sha256": "210e90d1dab5a22071acb6700f7934d3a082c05a8eacd8c3f6a86fb35b1cfec8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5690",
    "kind": "arxiv",
    "version": 8
  }
}